A microstructurally based orthotropic hyperelastic constitutive law

By J. Bischoff, E. A. Arruda, Karl Grosh. 2002

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Constitutive modelling of passive myocardium: a structurally based framework for material characterization (2009, methodology): “Some of these are inappropriate for modelling myocardial tissue, including the Langevin eightchain based model of Bischoff et al. (2002), which, as pointed out by Schmid et al. (2008), does not reflect the morphology of the myocardium.”
Nanoscale Morphology and Indentation of Individual Nacre Tablets from the Gastropod Mollusc Trochus Niloticus (2005, methodology): “The organic matrix was assumed to behave similar to an elastomer and modeled by the Arruda–Boyce 8-chain model,(47) which has been shown to adeduately capture the stress-strain behavior of rubbers and soft tissues.(48,49) The stress–strain law for the Arruda–Boyce 8-chain model is(47)”
Remodeling of biological tissue: Mechanically induced reorientation of a transversely isotropic chain network (2004, methodology): “Only recently, the wormlike chain approach has been adopted to simulate the constitutive behavior of the collagen triple helix by Bischoff et al. [ 4 ,5] and Garikipati et al. [19].”
A continuum treatment of growth in biological tissue: the coupling of mass transport and mechanics (2003, methodology): “It has been described and implemented into an anisotropic representative volume element by Bischoff et al. (2002), and is summarized here.”